Question

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Answer 1

Answer:

a = 50°, b = 130°, c = 20°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles in the right triangle

a + 40° + 90° = 180°

a + 130° = 180° ( subtract 130° from both sides )

a = 50°

a and b are adjacent angles and sum to 180° , so

a + b = 180°

50° + b = 180° ( subtract 50° from both sides )

b = 130°

Then sum the angles in the top triangle, that is

30° + 130° + c = 180°

160° + c = 180° ( subtract 160° from both sides )

c = 20°